Title
An Adaptive Denoising Algorithm for Improving Frequency Estimation and Tracking
Abstract
We propose a novel adaptive denoising algorithm which, in presence of high levels of noise, significantly improves super-resolution and noise robustness of standard frequency estimation algorithms such as (root-)MUSIC and ESPRIT. During the course of its operation, the algorithm dynamically estimates the power spectral density (PSD) of noise and adapts to it. In addition, the proposed denoising front-end allows signal samples to be non-uniform, enabling the standard frequency estimation algorithms to achieve the same super-resolution, accuracy and noise robustness for non-uniformly sampled signals as for uniformly sampled signals of the same sample density. Extensive numerical tests verify superior denoising performance compared to the standard Cadzow method, especially when the noise present is not white. Our algorithm exploits salient features of numerically robust differential operators known as chromatic derivatives and the associated chromatic approximations which provide a method for digital processing of continuous time signals superior to processing which operates directly on their discrete samples.
Year
DOI
Venue
2020
10.1109/TCSII.2019.2898451
IEEE Transactions on Circuits and Systems II: Express Briefs
Keywords
Field
DocType
Frequency estimation,Standards,Approximation algorithms,Noise robustness,Multiple signal classification
Noise reduction,Numerical tests,Denoising algorithm,Chromatic scale,Control theory,Algorithm,Robustness (computer science),Differential operator,Spectral density,Mathematics,Salient
Journal
Volume
Issue
ISSN
67
1
1549-7747
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Chamith Wijenayake15918.87
Amir Antonir200.34
Gabriele Keller365736.02
Aleksandar Ignjatovic455649.24